设等差数列{an}的前N项和为Sn,且a3+a5+a7=15,则S9=?

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/05 09:47:31
设等差数列{an}的前N项和为Sn,且a3+a5+a7=15,则S9=?

设等差数列{an}的前N项和为Sn,且a3+a5+a7=15,则S9=?
设等差数列{an}的前N项和为Sn,且a3+a5+a7=15,则S9=?

设等差数列{an}的前N项和为Sn,且a3+a5+a7=15,则S9=?
由等差数列的求和公式知:
Sn=n*(a1+an)/2
则有S9=9*(a1+a9)/2
因为an为等差数列,a3=a1+2d,a5=a1+4d,a7=a1+6d
则有a5=(a3+a7)/2
则由a3+a5+a7=15,知a3+a7=10,a5=5
由等差数列知a1+a9=a1+a1+8d=a3+a7
则Sn=45

Sn=[n(a^1+a^n)]/2
根据题意的:3a^5=15 , a^5=a^1+4d=5
S9=[9*(a^1+a^1+8d)]/2==[9*2(a^1+4d)]/2=45
刚错咯,不好意思啊,加油哦~呵呵

设Sn为等差数列an的前n项和.求证Sn/n为等差数列 设Sn为等差数列{An}的前n项和,求证:{Sn/n}是等差数列 设等差数列{an}的前n项和为Sn,且满足S15>0,S16 设等差数列{an}的前n项和为Sn,且S6 设等差数列{an}前n项和为Sn,且a1>0,S13=S19,求Sn的最大值 设等差数列An的前n项和为Sn,且S4=4S2,A2n=2An+1 设数列{an}为正项数列,前n项的和为Sn,且an,Sn,an^2成等差数列,求an通项公式 设等差数列{an}的前n项和为Sn,且S5=-5,S10=15,求数列{Sn/n}的前n项和Tn 设等差数列{an}的前n项和为Sn 若a1=Sn> 设等差数列an前n项和为sn,且s10=s20.则s30=? 等差数列an的前n项和为Sn,已知Sm=a,Sn-Sn-m=b,m、n属于自然数且n>m,求Sn? 设数列an的前n项和为Sn,满足an+sn=An^2+Bn+1(A不等于0)an为等差数列,求(B-1)/A 已知等差数列(an)的前n项和为Sn,且a3=5,S15=225,设bn=2^a n+2n,求数已知等差数列(an)的前n项和为Sn,且a3=5,S15=225,设bn=2^a n+2n,求数列{bn}的前n项和Tn 已知数列{an}的前n项和Sn,且a1=a(a为非零常数),当n>=2时,an=2Sn^2/2已知数列{an}的前n项和Sn,且a1=a(a为非零常数),当n>=2时,an=2Sn^2/2Sn-11)求证:数列{1/Sn}是等差数列2)设bn=Sn/an,数列bn的前n项和为Tn.已 设等差数列{an}的前n项和为Sn,且a4-a2=8,S10=190,(1)求等差数列{an}的通项公式an 设等差数列{an}的前n项和为Sn ,且S15>0,a8+a90,a8+a9 设等差数列{An}的前n项和为Sn,且A5=5A3,则S9/S5=? 设等差数列{an}的前n项和为Sn,已知a3=12,且S12>0,S13